Answer:
8.5
Step-by-step explanation:
ABCD is a rectangle meaning, AD = BC AND AB = DC. Since BC = PQ, we need to solve for PQ.
We know that QR = 10 cm, and the area of a rectangle is the length times the width. We know the area is 45 cm^2, so:
a = l * w
45 = 10 * PQ
PQ = 4.5
Since PQ = BC, then BC = 4.5. We know that the perimeter of the rectangle is 26 cm, we can solve for AB:
2(AB) + 2(BC) = 26
2(AB) + 2(4.5) = 26
2(AB) = 17
AB = 8.5
